Ab inito study and NBO analysis of the enantiomerization energy profile of tetra-peri-substituted overcrowded naphthalenes
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Ab initio molecular orbital (MO) and density functional theory methods were used to investigate the structural and conformational properties of 1,4,5,8-tetra-tert-butyl naphthalene (1), 1,4,5,8-tetrakis(trimethylsilyl)naphthalene (2), 1,4,5,8-tetrakis(trimethylgermyl)naphthalene (3) and 1,4,5,8-tetrakis(trimethylstannyl)naphthalene (4). HF/3-21G*//HF/3-21G*, MP2/3-21G*//HF/3-21G*, B3LYP/3-21G*//HF/3-21G*, HF/LANL2DZ*//HF/LANL2DZ*, MP2/LANL2DZ*//HF/LANL2DZ* and B3LYP/LANL2DZ*//HF/LANL2DZ* results revealed that the most stable form of these compounds has D2 symmetry, and, therefore, they should present optical activity. The enantiomerization processes for compounds 14 could take place via plane symmetrical intermediates (with C2h symmetry). MP2/3-21G*//HF/3-21G* results show that the plane-symmetrical (C2h symmetry) geometries of compounds 14 are less stable (about 8.40, 5.18, 8.01, and 6.37 kcal mol−1, respectively) than the axial-symmetrical geometries (D2 symmetry). Also, in compounds 14, the plane symmetrical intermediate (C2h symmetry) is less stable than the axial-symmetrical (D2 symmetry) geometry, about 10.07, 6.80, 9.49 and 7.33 kcal mol−1, respectively, as calculated by B3LYP/3-21G*//HF/3-21G* level of theory. The barrier heights for interconversion of the D2 to C2h geometries for compounds 14 are 29.32, 14.89, 12.28 and 9.24 kcal mol−1, as calculated by MP2/3-21G*//HF/3-21G* level of theory. Also, B3LYP/3-21G*//HF/3-21G* results show that the required energy for ring flipping (D2 to ) for these compounds is 28.41, 13.48, 11.52, 8.33 kcal mol−1. In both axial and plane symmetrical (D2 and C2h) geometries of compounds 14, the naphthalene rings are puckered and their aromatic characters are relatively perturbed.

For compounds 13, the calculations were also performed at B3LYP/6-311+G**//HF/6-31G*, MP2/6-31G*//HF/6-31G* and HF/6-31G*//HF/6-31G* levels of theory. However, the comparison showed that the results at HF/3-21G*//HF/3-21G*, B3LYP/3-21G*//HF/3-21G* and MP2/3-21G*//HF/3-21G* methods correlated well with those obtained at HF/6-31G*//HF/6-31G*, B3LYP/6-311+G**//HF/6-31G* and MP2/6-31G*//HF/6-31G* levels of theory.

Further, NBO analysis, based on the HF/3-21G* optimized ground state geometries, revealed that in compounds 14, the resonance energy associated with σCaryl–M to delocalization is 1.43, 3.53, 3.96 and 4.62 kcal mol−1, respectively. These resonance energy values could explain the easiness of ring flipping processes from compound 4 to 1. The NBO results are in good agreement with the calculated energy barriers for ring flipping in compounds 14, as calculated by MP2, B3LYP and HF methods, using all electron (3-21G*) and pseudopotential (LANL2DZ*) basis sets.

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